TY - JOUR
AU - Mallick, Sahanous
AU - De, Uday Chand
PY - 2016/09/15
Y2 - 2021/09/29
TI - Spacetimes with Pseudosymmetric Energy-momentum Tensor
JF - Communications in Physics
JA - Comm. in Phys.
VL - 26
IS - 2
SE - Papers
DO - 10.15625/0868-3166/26/2/7446
UR - https://vjs.ac.vn/index.php/cip/article/view/7446
SP - 121
AB - The object of the present paper is to introduce spacetimes with pseudosymmetricenergy-momentum tensor. In this paper at first we consider the relation \(R(X,Y)\cdot T=fQ(g,T)\), that is, the energy-momentumtensor \(T\) of type (0,2) is pseudosymmetric. It is shown that in a general relativistic spacetimeif the energy-momentum tensor is pseudosymmetric, then the spacetime is also Ricci pseudosymmetricand the converse is also true. Next we characterize the perfect fluid spacetimewith pseudosymmetric energy-momentum tensor. Finally, we consider conformally flat spacetime withpseudosymmetric energy-momentum tensor.
ER -